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KVPY SX SB Exam 20141 Question Paper
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© examsnet.com
Question : 35
Total: 120
Two identical parallel plate capacitors of capacitance C each are connected in series with a battery of emf, E as shown. If one of the capacitors is now filled with a dielectric of dielectric constant k, the amount of charge which will flow through the battery is (neglect internal resistance of the battery)
k
+
1
2
(
k
−
1
)
C
E
k
−
1
2
(
k
+
1
)
C
E
k
−
2
k
+
2
C
E
k
+
2
k
−
2
C
E
Validate
Solution:
New charge on each
C
=
(
k
C
k
+
1
)
Change in charge on C is supplied by battery
∴ Charge supply by battery =
=
(
k
C
k
+
1
)
E
−
C
E
2
⇒
C
E
[
k
k
+
1
−
1
2
]
⇒
C
E
[
k
−
1
2
(
k
+
1
)
]
Charge passes through battery is change supply by battery
∴ Ans.
C
E
[
k
−
1
2
(
k
+
1
)
]
© examsnet.com
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